Given :
A sailor is 30 m above the water in the crow's nest on a sailboat.
The sailor encounters an orca surface at an angle of depression of 15 degrees.
The crows nest is 20 m horizontally from the bow (front) of the boat.
To Find :
How far in front of the boat is the orca.
Solution :
Let, distance of boat front from the crow's nest is x.
So,
[tex]\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m[/tex]
Hence, this is the required solution.
Factorise Fully:
21b-3b^2
See attachment for math work and answer.
Select True or False. The expression 3x − 4(2x − 5) is equivalent to the expression 20 − 5x. True False
Answer:
true
Step-by-step explanation:
3x − 4(2x − 5)
Distribute
3x - 8x +20
-5x +20
20 -5x
This is equal to 20 -5x
Answer:
The answer would be true.
Step-by-step explanation:
Hope this help and I took the test and got this correct! :)
All the comic books in a store are the same price. Vera
buys 3 comic books for $7.50. How much do 5 comic
books cost? How much do 8 comic books cost?
Answer:
The price for 3 comics is $12.50 and the price for 8 comics is $20.00.
Step-by-step explanation:
To calculate the price of one comic, we can divide the price of the comics by the amount bought:
= $7.50 ÷ 3
= $2.50
Therefore, one comic is $2.50
To figure out how much 5 and 8 comics are, just multiply these numbers by the price of one:
= 5 x $2.50
= $12.50
= 8 x $2.50
= $20.00
The price for 3 comics is $12.50 and the price for 8 comics is $20.00.
On their last history test, Eric scored five more than twice the points that his friend Josh did. If they scored 134 points altogether, find Eric’s score
plz i need help ASAP
Answer: Eric got a 91
Step-by-step explanation:
Make two equations:
We know Eric scored 5 points more than 2 times Josh’s score. E=Eric J=josh
Equation: E = 5 + 2(J)
E + J = 134
Solve for E:
J= 134 - E
Plug it into first equation: E= 5+ 2(134-E)
E= 5+(268-2E) add 2E from each side
E+ 2E = 268 + 5 reduce
3E = 273 divide by 3 to find Eric score
E= 91
You can plug it back in to find what josh received 134-91 = 43
To fact check if you multiple josh score of 43 by 2 you receive 86 which is indeed 5 points lower that 91 so it’s correct.
plz help me its due soon :( im sad
Answer:
your answer should be 25 feet
Step-by-step explanation:
Answer:
why are you sad
Step-by-step explanation:
25 ft
T = CB-5, for C
C=
What’s the answer
Answer:
C=t/b + 5/b
Step-by-step explanation:
Please make me Brainliest
A line passes through the point (-2, 7) and has a slope of -5.
What is the value of a if the point (a,2) is also on the line?
Answer:
-1
So the answer would be (-1, 2)
Hopefully, this is correct, sorry if not.
Can I please get HELP? ( Picture included)
Answer:
no entiendo la version de esa mathematica
Step-by-step explanation:
Answer:
i think it is 26.
Step-by-step explanation:
180-134=46
180-160=20 so
ABC (46)- XYZ (20)=26.
Hi I need help :( Pls show your working..Will give brainliest for helpful answer
Answer:
number 10
dy/dx =(dy/dt).(dt/dx)
now find
dy/dt=4t-1. , dt/dx=1
so : dy/dx=(4t-1).(1)
dy/dx= 4t-1 ,we have x=t-3-----> t=x+3
subtitute at t
dy/dx= 4(x+3)-1=4x+12-1= 4x+11
The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *
Answer:
a₅ = 37
Step-by-step explanation:
The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = 16, then
a₁ + 11d = 16 ← substitute d = - 3
a₁ + 11(- 3) = 16
a₁ - 33 = 16 ( add 33 to both sides )
a₁ = 49 , then
a₅ = 49 + (4 × - 3) = 49 - 12 = 37
⚠️HURRY⚠️
write an equation that matches this graph in Slope-Intercept Form
Answer:
y = -1/4x+2
Step-by-step explanation:
Answer:
y = -1/4x + 2
Step-by-step explanation:
We can tell that the line passes trough the point (0, 2), so the y-intercept is 2.
Let's calculate the slope by using rise over run. We see for every one unit down, it goes 4 units to the right. It also goes downward, so the slope is negative. So the slope is -1/4. Put it together...
y = -1/4x + 2
Hope this helps!
Can someone guide me step by step on how I hack my grades on a apple/hp laptop
Answer:
no sorry lol but just try harder
What is the domain of f(x)?
O {xl-4
O {xl-3 < x < 4}
O {x|1 < x < 4}
O {x|2 < x < 4}
Two negative consecutive integers have a sum of -39. What are the
integers?
Answer:
I think the integers are -19 and -20.
Step-by-step explanation:
Hope this helps!
what is the answer to
-6+n=6
How do you solve it
Answer:
n=12
Step-by-step explanation:
-6+n=6
n=6+6
n=12
when solving the equation x3 = 22.
Answer:
x=7 1/3
Step-by-step explanation:
I promise u your gonna have a bright future if u help me with this ! and I'll brainlist
11. A) x = 0
y = 2x + 5
=> y = 2 * 0 + 5
=> y = 0 + 5 = 5
=> y = 5 (First blank)
x = 1
y = 2x + 5
=> y = 2 * 1 + 5
=> y = 2 + 5 = 7
=> y = 7 (Second blank)
x = 2
y = 2x + 5
=> y = 2 * 2 + 5
=> y = 4 + 5
=> y = 9 (Third blank)
x = 3
y = 2x + 5
=> y = 2 * 3 + 5
=> y = 6 + 5
=> y = 11 (Fourth blank)
x = 4
=> y = 2x + 5
=> y = 2 * 4 + 5
=> y = 8 + 5
=> y = 13 (Fifth blank)
11. B) x = 0
=> y =
=> y = 3 * 0 * 0 + 1
=> y = 0 + 1
=> y = 1 (First blank)
x = 1
=> y =
=> y = 3 * 1 * 1 + 1
=> y = 3 + 1
=> y = 4 (Second blank)
x = 2
=> y =
=> y = 3 * 2 * 2 + 1
=> y = 12 + 1
=> y = 13 (Third blank)
x = 3
=> y =
=> y = 3 * 3 * 3 + 1
=> y = 27 + 1
=> y = 28 (Fourth blank)
x = 4
=> y =
=> y = 3 * 4 * 4 + 1
=> y = 48 + 1
=> y = 49 (Fifth blank)
For more info, here's a picture,
If my answer helped, kindly mark me as the Brainliest!!
Thank You!!
Which one of the relationships described is not proportional?
a.
Cedrick earns $9.75 for each day he pet-sits; is the relationship between the money he earns and the days he works proportional?
b.
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
c.
The length of the side of a square and its perimeter; is the relationship between the measurements proportional?
d.
A car travels at a constant speed of 35 miles per hour is the relationship between the distance and the time proportional?
Answer:
Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
Step-by-step explanation:
i just did it
Are 3/4 and 16/20 equivalent? Why or why not is one fraction smaller/larger than the other? How do you know
Answer:
No they are not equivalent because 3/4 would be equivalent to 6/8, 9/12, 12/16/ 15/20. 16/20 would be the greatest fraction because in its simplest form it would be 4/5.
If window washers can wash 15 windows in 18 minutes, how long will it take them to wash 10,00
Answer:
1200
Step-by-step explanation:
15/18 * 1000/x
x = 1200
Answer:
1200 minute / 20 hour
Step-by-step explanation:
[tex]1000 \times 18 = 18000[/tex]
[tex]18000 \div 15 = 1200[/tex]
A certain test is scored by adding 1 point for
each correct answer and subtracting 1/4 of a
point for each incorrect answer. If Jan answered
31 questions correctly and 9 questions incor-
rectly, what was her score?
a. 28 3/4
b. 28 1/4
c. 26
d. 22 1/4
Answer:
A
Step-by-step explanation:
31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4
Bags of cat food can be
purchased in the sizes shown.
Drag the bags to the boxes to
order them based on their price per ounce
Answer:
(72 oz. $17.99)------------>Least expensive
(32 oz. $7.32)------------>middle
(48 oz. $9.60)------------>most expensive
Step-by-step explanation:
Once you understand how to do it, it's easy!
Just divide the ounces by the price to findout the cost
72 ÷ 17.99 = 4.00
32 ÷ 7.32 = 4.37
48 ÷ 9.60 = 5.00
4.00 < 4.37 < 5.00
Least, Middle, most
Good Job! Pls Brainliest! ;)
The temperature in Monarch, Wisconsin, was -3° F at 6:00 a.m. The temperature rose 12 degrees in 9 hours. What was the temperature in Monarch at 3:00p.m.?
Answer:
9 degrees
Step-by-step explanation:
The temperatire was -3 and then rose by 12, -3 + 12 = 9
Solve the following inequality: 2x^2 + x - 1/x^2-x<1
Answer:
−1<x<0 or 0<x<1
Step-by-step explanation:
Answer:
I believe it is : -1 < x < 0 OR 0 < x < 1
Or if you want it in interval notation form:
(-1, 0) ∪ (0, 1)
Step-by-step explanation:
hope this helps, lol! <3
Find the arc length
Answer:
5π
Step-by-step explanation:
Arc length = 1/4 * circumference
Circumference = 2*pi*r = 2*pi*10 = 20pi
Arc length = 1/4 * 20pi = 5pi
10 points
Find the DISTANCE between point (3, -8) and point (-11,5). *
Answer:
19.1
Step-by-step explanation:
need answer asap Whole numbers: ___ + ___ + ___ = _____ cups of soup mix.
Answer:
1+2+3=6 lol jk i dont have the numbers that they gave you
Step-by-step explanation:
2x + 3y = 6
y = 2/3x - 2
y = 2/3x + 2
y = -2/3x - 2
y = -2/3x + 2
Answer:
y= −2/3x+2
Step-by-step explanation:
2x+3y=6
Add -2x to both sides.
2x+3y+−2x=6+−2x
3y=−2x+6
Divide both sides by 3.
3y/3=−2x+6/3
Identify the number of terms in this polynomial.
5k^5+7k-2
Answer:
cuatro terminos
Is there a way to rewrite this? It asked me to create an equation, and I did: 180([tex]x^{2}[/tex]). I checked it and it said it was wrong, however, I used the same equation to get the answer for the second question and it was correct. I thought that maybe there was another way to write the equation, so I used the equation [tex]\frac{y2-y1}{x2-x1}[/tex] and had no luck. Is there a way to write it that I don't know about?
Step-by-step explanation:
Hope this helps, and sorry for the image, my phone is glitchy.
cheers!!!